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Integer Operations With Powers and Grouping

Written by Adi Ackerman, Head Teacher

"Integer Operations With Powers and Grouping" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.NS.A.3. A 6th grader who is already steady on integers can use it too, and an older student can use it as a short review.

Popular with 7th Grade teachers · Downloaded 395 times
Integer Operations With Powers and Grouping
Integer Operations With Powers and Grouping

7th grade math worksheet: find values of expressions with squared integers, noting that (-4)^2 and -4^2 are not the same. Answer key included. Part of our mixed integer operations integers collection. Aligned to Common Core standards.

How do I use this worksheet?

Use Integer Operation Rules Reference and Check as a review at the start. Assign Integer Operations, Two Steps before the sheets on parentheses, absolute value and powers, and finish with the running totals and word problem sheets.

What students will practice

  • Students will learn that a minus sign inside parentheses is squared and one outside is not.
  • Students will find values such as (-4) squared and negative 5 squared.
  • Students will evaluate expressions that combine powers with division, grouping and addition.


Curriculum Links

Common Core State Standards

The Number System · 7th Grade

7.NS.A.3

Standard: Solve real-world and mathematical problems involving the four operations with rational numbers.

View all 7.NS.A.3 worksheets →

Find this in the curriculum

Browse the grade, subject, and topic this belongs to.

FAQ

How do I use this mixed integer operations worksheet?

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Use Integer Operation Rules Reference and Check as a review at the start. Assign Integer Operations, Two Steps before the sheets on parentheses, absolute value and powers, and finish with the running totals and word problem sheets.

What does this worksheet teach?

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Find values of expressions with squared integers, noting that (-4)^2 and -4^2 are not the same. The directions on the page read: Find each value. A minus sign inside the parentheses is squared. A minus sign outside them is not. An answer key is included.

Can I use this mixed integer operations worksheet for homeschool or classroom?

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Yes, both. We made it for 7th grade integers, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

What is the order of operations with integers?

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Work inside parentheses first, then powers, then multiply and divide from left to right, then add and subtract from left to right. Integer Operations, Two Steps practices the multiply and divide before add and subtract step.

Why do (-4) squared and negative 4 squared give different answers?

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A minus sign inside the parentheses is squared along with the 4, so (-4) squared is 16. A minus sign outside is not squared, so negative 4 squared is -16. Integer Operations With Powers and Grouping practices this.

How does absolute value work in an expression?

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Absolute value bars group like parentheses, so find the value inside first and then take its absolute value. Integer Operations With Absolute Value has problems such as |(-9) + 4| x 3.

How do you find a missing operation sign?

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Try each of plus, minus, times and divide in the circle and use the order of operations to test it. Missing Operation Signs Between Integers has exactly one correct way to fill each equation.

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Worksheet Details

Grade7th Grade
SubjectMath
TopicIntegers
Standard7.NS.A.3
Pages1 page
DifficultyMedium

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